American Wheat Carbonization

Purchased a kit to make the American Wheat and everything turned out well except the beer is somewhat flat as the priming sugars appear to not be working ,It has been in bottles for almost 5 weeks. I had them in the basement where the temperature is like 66-68 so brought upstairs yesterday . Any thoughts or anything I can do? My first kit was the Irish Red and it has a excellent head on it .

Also any recommendation on a good summer beer kit for warm days after mowing the lawn?

Thanks

Gently agitate each bottle twice a day and bring the bottles to a warmer room. Temps in the mid to upper 70s will help speed up the production of CO2.

What yeast did you use?
After five weeks in the upper 60s you should have carbonation.

Hard to beat an American Pale Ale or an India Pale Ale when the temps are up IMO.